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3995712 = 26327991
BaseRepresentation
bin1111001111100001000000
321112000002100
433033201000
52010330322
6221350400
745651210
oct17174100
97460070
103995712
11228a046
121408400
13a9b936
14760240
1553ddac
hex3cf840

3995712 has 84 divisors (see below), whose sum is σ = 13102336. Its totient is φ = 1140480.

The previous prime is 3995699. The next prime is 3995713. The reversal of 3995712 is 2175993.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3995713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3537 + ... + 4527.

Almost surely, 23995712 is an apocalyptic number.

3995712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551168).

3995712 is an abundant number, since it is smaller than the sum of its proper divisors (9106624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3995712 is a wasteful number, since it uses less digits than its factorization.

3995712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 3995712 is about 1998.9277125499. The cubic root of 3995712 is about 158.6833617848.

The spelling of 3995712 in words is "three million, nine hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 991 1008 1344 1982 2016 2973 3964 4032 5946 6937 7928 8919 11892 13874 15856 17838 20811 23784 27748 31712 35676 41622 47568 55496 62433 63424 71352 83244 95136 110992 124866 142704 166488 190272 221984 249732 285408 332976 443968 499464 570816 665952 998928 1331904 1997856 3995712